Which stable nuclei have a diameter of 7.46 fm?

FIGURE P39.31 shows the wave function of a particle confined between x = 0 nm and x = 1.0 nm. The wave function is zero outside this region. Determine the value of the constant c, as defined in the figure.

In most metals, the atomic ions form a regular arrangement called a crystal lattice. The conduction electrons in the sea of electrons move through this lattice. FIGURE P40.34 is a one-dimensional model of a crystal lattice. The ions have mass m, charge e, and an equilibrium separation b. What wavelength photons are emitted during quantum jumps between adjacent energy levels? Is this wavelength in the infrared, visible, or ultraviolet portion of the spectrum?

A ²²²Rn atom (radon) in a 0.75 T magnetic field undergoes radioactive decay, emitting an alpha particle in a direction perpendicular to $\overrightarrow{B}$. The alpha particle begins cyclotron motion with a radius of 45 cm. With what energy, in MeV, was the alpha particle emitted?

Calculate the nuclear diameters of (a) ⁴He, (b) ⁵⁶Fe, and (c) ²³⁸U.

Use the potential-energy diagram in Figure 42.8 to estimate the ratio of the gravitational potential energy to the nuclear potential energy for two neutrons separated by 1.0 fm.

Draw energy-level diagrams, similar to Figure 42.11, for all A = 14 nuclei listed in Appendix C. Show all the occupied neutron and proton levels.

The radioactive isotope ²³⁰Th has a density of 11,700 kg/m³ and a half-life of 75,000 yr. What is the radius of a ²³⁰Th sphere that has an activity of 1.0 Ci?

Identify the unknown isotope $X$ in the following decays. $\text{X}{\to }^{40}\text{K}+{\text{e}}^{+}+\nu$